About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Kučera, Václav ; Zivčáková, Andrea
Discontinuous Galerkin method for a 2D nonlocal flocking model. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 63-72
MSC: 35Q35, 35Q92, 65M60 | DOI: 10.21136/panm.2016.08
Keywords:
discontinuous Galerkin method; semi-implicit time discretization; nonlocal problems; flocking dynamics
Summary:
We present our work on the numerical solution of a continuum model of flocking dynamics in two spatial dimensions. The model consists of the compressible Euler equations with a nonlinear nonlocal term which requires special treatment. We use a semi-implicit discontinuous Galerkin scheme, which proves to be efficient enough to produce results in 2D in reasonable time. This work is a direct extension of the authors' previous work in 1D.
Partner of
EuDML logo